Maryland Math 6.AT.C.8.c

Math6th GradeAlgebraic Thinking

The Standard

6.AT.C.8: Solve problems in context by writing and solving equations and interpreting the solutions in context.

Represent solutions of such equations on a number line.

Maryland College and Career Ready Standards for Mathematics (2025) · REASON ABOUT AND SOLVE ONE-VARIABLE EQUATIONS AND INEQUALITIES

Teacher's field guide

What Students Need to Do: Students solve a one-variable equation and mark its solution as a single point on a number line. They label the point and use a scale that fits the answer.
What Mastery Looks Like: Given x + 3 = 1, a student finds x = -2 and marks -2 on the number line. They check the point by substituting -2 into the equation.
Common Misconceptions: Students may plot the number added to x instead of the value of x. They may put negative values to the right of zero or shade a ray instead of marking one point.
How to Assess It: Exit ticket: Solve x + 2.5 = 1. Plot and label the solution on a number line from -3 to 3 marked in halves.

Lesson moves

Put tape ticks on the floor and have a student stand at the solution to x + 3 = 1.
Show a point at 3 for x + 3 = 1 and ask students to write why it is wrong.
Give pairs equation cards and number line cards to match, then have them check each match by substitution.
A gift card has $6 after a $4 purchase. Write b - 4 = 6 and plot its starting balance.

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